Finite fields, order

  • Thread starter missavvy
  • Start date
  • #1
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Homework Statement



If A=<1+i> in Z, show that Z/A is a finite field and find its order

Homework Equations





The Attempt at a Solution



Not sure where to start...

Z/A = {m+ni + A, m, n integers} ? is that right?

And I don't know what else to do.
 

Answers and Replies

  • #2
22,129
3,297
Maybe you can use that 2=(1+i)(1-i)...
 

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